AnswersSSCR 26 Math Essentials BApplications with the Volume of a Cone

Spherical and Cubic Volume Applications Answers

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1
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Which expression can be used to find the height of the cone below?

Question illustration
A
30 = one-third (8 h)
Option A
B
8 = 30 h
Option B
C
30 = 8 h
Option C
D
8 = one-third (30 h)
Option D
2
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The volume of a cone is cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the nearest tenth if necessary.

Question illustration
A
5.2 in.
B
9 in.
C
34.7 in.
D
81 in.
3

Zula has a conical bird feeder with a volume of 64.3 cubic centimeters and a height of 7 centimeters. Which equation can be used to find the area of the circular lid needed to cover the bird feeder?

A
64.3 = one-third (7) (h)
Option A
B
64.3 = one-third (B) (7)
Option B
C
64.3 = one-third (B squared) (7)
Option C
D
64.3 = one-third (B) (7) squared
Option D
4

An icicle is in the shape of an inverted cone with a diameter of 11 mm and a height of 90 mm. How much frozen water is in the icicle? Use 3.14 for . Round the answer to the nearest tenth.

Question illustration
A
1,036.2 millimeters cubed
Option A
B
1,554.3 millimeters cubed
Option B
C
2,849.6 millimeters cubed
Option C
D
4,662.9 millimeters cubed
Option D
5

The volume of a cone is cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.What is Ashlyn’s error?

Question illustration
A
In step 3, Ashlyn did not subtract from .
Option A
B
In step 2, Ashlyn did not find the correct value for multiplying and 12.
Option B
C
In step 1, Ashlyn included a factor of on the right side of the formula.
Option C
D
In step 1, Ashlyn did not substitute the correct value for the height in the formula.
6

What is the area of the base of the cone below? Round the answer to the nearest tenth if necessary.

Question illustration
A
14.7 inches squared
Option A
B
17.3 inches squared
Option B
C
18.5 inches squared
Option C
D
19.5 inches squared
Option D
7

What is the height of the cone below?

Question illustration
A
3 in.
B
9 in.
C
27 in.
D
75 in.
8

An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for . Round your answer to the nearest hundredth.

Question illustration
Answer not available
9

The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?

Question illustration
A
2 in.
B
4 in.
C
12 in.
D
16 in.
10

The volume of a cone is cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.What is Fatima’s error?

Question illustration
A
In step 4, Fatima did not find the correct value of .
Option A
B
In step 2, Fatima should not have multiplied and 8.
Option B
C
In step 3, Fatima did not multiply 88 by the reciprocal of .
Option C
D
In step 1, Fatima did not substitute the correct value for the height in the formula.

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